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Finding the Fourth Proportional to 5,640.42, 7,782.69 and 3,122.42

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Solution

The fourth proportional to 5,640.42, 7,782.69 and 3,122.42 is: 4,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.42 : 7,782.69 = 3,122.42 : x
  2. Step 2: Convert to fraction form
    5,640.42/7,782.69 = 3,122.42/x
  3. Step 3: Cross multiply
    5,640.42x = 7,782.69 × 3,122.42
  4. Step 4: Simplify right side
    5,640.42x = 24,300,788.00
  5. Step 5: Solve for x
    x = 24,300,788.00/5,640.42
  6. Step 6: Final answer
    x = 4,308.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.